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12221201002101 = 372133223916901
BaseRepresentation
bin1011000111010111100001…
…0110000010111001110101
31121021100001111210021200220
42301311320112002321311
53100213004424031401
641554201531124553
72400644516344200
oct261657026027165
947240044707626
1012221201002101
113991a893a5743
1214546735a3759
136a85ba16c000
1430371b696937
15162d7c798336
hexb1d78582e75

12221201002101 has 96 divisors (see below), whose sum is σ = 20544610867200. Its totient is φ = 6443087414400.

The previous prime is 12221201002091. The next prime is 12221201002141. The reversal of 12221201002101 is 10120010212221.

It is not a de Polignac number, because 12221201002101 - 25 = 12221201002069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221201002141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 723096751 + ... + 723113651.

It is an arithmetic number, because the mean of its divisors is an integer number (214006363200).

Almost surely, 212221201002101 is an apocalyptic number.

It is an amenable number.

12221201002101 is a deficient number, since it is larger than the sum of its proper divisors (8323409865099).

12221201002101 is a wasteful number, since it uses less digits than its factorization.

12221201002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19196 (or 19163 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12221201002101 its reverse (10120010212221), we get a palindrome (22341211214322).

The spelling of 12221201002101 in words is "twelve trillion, two hundred twenty-one billion, two hundred one million, two thousand, one hundred one".

Divisors: 1 3 7 13 21 39 49 91 147 169 273 507 637 1183 1911 2197 2239 3549 6591 6717 8281 15379 15673 16901 24843 29107 46137 47019 50703 87321 107653 109711 118307 203749 219713 322959 329133 354921 378391 611247 659139 828149 1135173 1426243 1537991 2484447 2648737 2856269 4278729 4613973 4919083 7946211 8568807 10765937 14757249 18541159 19993883 32297811 34433581 37131497 37841339 55623477 59981649 103300743 111394491 113524017 139957181 241035067 259920479 264889373 419871543 491937407 723105201 779761437 794668119 1475812221 1819443353 1854225611 3443561849 5458330059 5562676833 6395186291 10330685547 19185558873 24104932943 44766304037 72314798829 83137421783 134298912111 249412265349 313364128259 581961952481 940092384777 1745885857443 4073733667367 12221201002101